We develop the general laws of the theory of the almost empty anchored magnetic flux tubes (MFT) with B ∼ 10 7 G, starting from tachocline to the surface of the Sun. The main result of this theory is the formation of the solar axions and the magnetic O-loop inside the MFT near the tachocline. In this magnetic O-loop (based on the Kolmogorov turbulent cascade) the axions are converted to photons, producing the axion origin photons near the bottom of the convective zone, i.e. near the tachocline. On the other hand, high-energy photons from the radiation zone through the axion-photon oscillations in the O-loop inside the MFT near the tachocline produce the socalled axions of photon origin under the sunspot. This means that at such strong magnetic fields the Parker-Biermann cooling effect of MFT develops due to the "disappearance" of the Parker's convective heat transport, and consequently, the temperature in the lower part of the magnetic tube with the help of the axions of photonic origin from the photon-axion oscillations in the O-loop near the tachocline. As a result, a free path for photons of axion origin opens from the tachocline to the photosphere!We show that the width of the ring between the magnetic wall of the flux tube and the magnetic O-loop near the tachocline, is the distance between the Parker-Biermann cooling effect, which forms the flux tube buoyancy, and the convective heating source (dQ/dt)2, which, despite the neutral buoyancy of the magnetic tube ring, repeats the upstream tube identically. In other words, the source of convective heating (dQ/dt)2 appears on the surface of the Sun as a result of the initiation (due to the Parker-Biermann cooling effect) of adiabatic growth of an undulatory instability in toroidal flux tubes which initially were in mechanical equilibrium (neutral buoyancy) in the stable overshoot layer.A very beautiful problem was solved this way. The high-energy photons passing from the radiation zone through the horizontal field of the O-loop near the tachocline turn into axions (see inverse oscillations γ + B → B + a), which almost completely eliminates the radiation heating (dQ/dt)1 of the almost empty magnetic flux tube. A certain flux of photons coming from the radiation zone through the tachocline, passes through the "ring" of a strong magnetic tube by virtue of convective heating (dQ/dt)2. It allows to determine both the velocity and the lifetime of the magnetic flux tube (with B ∼ 10 7 G) before the reconnection, from tachocline to the surface of the Sun, as well as the rate of the magnetic flux tube reconnection (with B ∼ 10 5 G) near the tachocline Vrec. The latter is determined only by the rise time of the magnetic loop and the disappearance of the spot from the surface of the Sun.Finally, we can show that the formation of sunspot cycles is equivalent to the number of cycles from the MFT, which coincides with the observational data of the Joy's law, and that both effects are the manifestations of dark matter (DM) -solar axions in the core of the Sun, whose modulation...